Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
MediumWrite the difference between periodic and simple harmonic motion.
(N/A) $1$. Periodic Motion: Any motion that repeats itself at regular intervals of time is called periodic motion. It does not necessarily require a restoring force proportional to displacement. Example: The motion of the Earth around the Sun.
$2$. Simple Harmonic Motion $(SHM)$: It is a special type of periodic motion where the restoring force is directly proportional to the displacement from the mean position and is directed towards the mean position. The equation of motion is given by $F = -kx$,where $k$ is the force constant and $x$ is the displacement. Example: The motion of a simple pendulum for small amplitudes.
$2$. Simple Harmonic Motion $(SHM)$: It is a special type of periodic motion where the restoring force is directly proportional to the displacement from the mean position and is directed towards the mean position. The equation of motion is given by $F = -kx$,where $k$ is the force constant and $x$ is the displacement. Example: The motion of a simple pendulum for small amplitudes.
Explore More
Similar Questions
The ratio of the maximum acceleration to the maximum velocity of a simple harmonic oscillator is
$A$ point particle of mass $0.1\, kg$ is executing $S.H.M.$ with an amplitude of $0.1\, m$. When the particle passes through the mean position,its kinetic energy is $8 \times 10^{-3} \, J$. Obtain the equation of motion of this particle if the initial phase of oscillation is $45^o$.
DifficultAIIMS 2013
View SolutionWhich of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?
$(a)$ The rotation of Earth about its axis.
$(b)$ Motion of an oscillating mercury column in a $U$-tube.
$(c)$ Motion of a ball bearing inside a smooth curved bowl,when released from a point slightly above the lowermost point.
$(d)$ General vibrations of a polyatomic molecule about its equilibrium position.
$(a)$ The rotation of Earth about its axis.
$(b)$ Motion of an oscillating mercury column in a $U$-tube.
$(c)$ Motion of a ball bearing inside a smooth curved bowl,when released from a point slightly above the lowermost point.
$(d)$ General vibrations of a polyatomic molecule about its equilibrium position.
Medium
View SolutionWhich of the following functions of time represent $(a)$ simple harmonic motion and $(b)$ periodic but not simple harmonic? Give the period for each case.
$(1)$ $\sin \omega t - \cos \omega t$
$(2)$ $\sin^2 \omega t$
$(1)$ $\sin \omega t - \cos \omega t$
$(2)$ $\sin^2 \omega t$
Medium
View SolutionAverage velocity of a particle executing $SHM$ in one complete vibration is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo